Ascertaining the Carbon Hybridization States of Synthetic Polymers

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Ascertaining the Carbon Hybridization States of Synthetic Polymers with X‑ray Induced Auger Electron Spectroscopy Stanfield Y. Lee,†,‡ Jihong Lyu,†,‡ Songsu Kang,‡ Sherilyn Jiawen Lu,†,‡ and Christopher W. Bielawski*,†,‡,§ †

Center for Multidimensional Carbon Materials (CMCM), Institute for Basic Science (IBS), Ulsan 44919, Republic of Korea Department of Chemistry and §Department of Energy Engineering, Ulsan National Institute of Science and Technology (UNIST), Ulsan 44919, Republic of Korea



S Supporting Information *

ABSTRACT: X-ray induced Auger electron spectroscopy was used to evaluate synthetic polymers containing carbons with differing degrees of sp-, sp2-, and sp3-hybridization states as well as heteroatoms. For comparison, a series of related small molecules was also studied. Linear correlations were observed and a universal calibration method for quantifying the average hybridization states of a wide variety of synthetic polymeric materials is offered.



INTRODUCTION

An Auger signal can be described according to the following equation:

Orbital hybridization is a fundamental determinant of the properties displayed by carbon-based materials. For example, materials rich in sp2-hybridized carbon atoms (e.g., graphite) are often soft and exhibit good electrical conductivity properties, whereas those containing relatively large amounts of interlinked, sp3-hybridized carbon atoms (i.e., diamond) are hard and insulating. As such, quantifying the carbon hybridization states of carbon-based materials is of high importance for determining the suitability of use in various applications. Methods such as solid-state nuclear magnetic resonance (ssNMR) spectroscopy,1,2 Fourier-transformed infrared (FTIR) spectroscopy,3 Raman spectroscopy,4 X-ray photoelectron spectroscopy (XPS),5,6 and near-edge X-ray absorption fine structure (NEXAFS) spectroscopy7 have been previously reported as techniques for such purposes. Although sp2- and/ or sp3-hybridized carbons can be distinguished using these methods, the use of subjective techniques (e.g., peak fitting) is often required which can challenge accurate quantification.8 Analysis of the shapes and line widths of the carbon KLL Auger signals obtained using X-ray Auger induced electron spectroscopy (XAES) has been reported as an alternative method for determining the hybridization states of carbon atoms present in various types of synthetic and natural materials.5,9,10 In addition to benefits that include relatively short analysis times, minimal sample requirements, and a relatively low sensitivity to charging effects,11 XAES can be utilized to quantify the hybridization state of carbon atoms present in insoluble materials. © XXXX American Chemical Society

E k = C(1s) − Vi − Vj

where Ek is the kinetic energy of the Auger electron, C(1s) is the binding energy of the core 1s band, and Vi and Vj represent the binding energies of the valence states involved.5,12 Although methods to utilize the structure of the Auger signal as a “fingerprint” of the carbon hybridization states present within a material have been attempted, factors such as low signal-tonoise ratios and damage from electron irradiation have led to varying results.10,13 Therefore, calculations involving measuring the separation degree between the maxima and minima of the first derivatives of the carbon KLL Auger peaks and correlating the separation degree to the ratio of sp2-to-sp3-hybridized atoms are often used instead. Determining the hybridization states of carbon atoms by this separation value, known as the Dparameter, is advantageous when compared to other methods since factors that result in signal losses, such as incomplete relaxation, which is typical in solid-state NMR experiments,14 are not applicable; as such, the method may be broadly implemented. For example, previous reports have successfully calculated the hybridization states in mixtures of graphite and diamond5,15,16 as well as in block copolymers of styrene and ethylene11 by measurement of the corresponding D-parameters. Received: March 6, 2018 Revised: April 29, 2018

A

DOI: 10.1021/acs.jpcc.8b02217 J. Phys. Chem. C XXXX, XXX, XXX−XXX

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(dicyclopentadiene), 2 3 poly(cyclooctadiene), 2 2 poly(acetylene),24 poly(vinyl acetylene),25 poly(vinyl phenylacetylene),26,27 poly(phenylene ethynylene),28 and poly(styrene)block-poly(ethylene)-block-poly(styrene)29 were synthesized following previously reported procedures. Mixtures of Graphite and Diamond. Graphite (particle size: ca. 69 μm) and diamond powder (ca. 1 μm) were mixed in known ratios using a mortar and pestle, and then dried under reduced pressure (see Table 1).

We were interested in extending the technique described above to facilitate the quantification of the hybridization states of a broad range of carbon-based materials and to ultimately realize a type of universal calibration method.11,17 Since the density of states in the valence band and thus the shapes of corresponding C KLL Auger signals are affected by the physical properties and chemical structures displayed by the samples under study,11,18,19 efforts were directed toward the analysis of a systematic series of polymers and related small molecules containing carbon atoms with varying degrees of hybridization states as well as nitrogen and oxygen heteroatoms.

Table 1. Summary of D-Parameter Values and Standard Errors Calculated for Diamond, Graphite, Various Physical Mixtures of Those Two Carbon Materials, and Graphite Fluoride (as a Control35)



EXPERIMENTAL SECTION XPS and XAES. XPS and XAES data were recorded over a spot size of 500 μm using an Escalab 250Xi (Thermo Fisher Scientific, Waltham, MA, USA) equipped with a monochromated aluminum Kα source (1486.6 eV). All samples were dried under a vacuum before analysis. All measurements were recorded at a normal angle from the surface. Charge compensation was accomplished with a combined ion/flood gun that was connected to a supply of argon gas. Ions were generated from argon at a current of 50 μA and an ion voltage of 2 V, and then focused at a current of 175 μA and an ion voltage of 1 V. Carbon 1s spectra were taken at a pass energy of 20 eV (100 scans). XAES of the C KLL Auger measurements were taken at a retard ratio of 4 s (100 scans). Following previously reported procedures,20,21 XPS data were calibrated to a spectrum of gold. After a gold foil was analyzed using the same conditions as those described above, the recorded spectrum was shifted so that the gold 4f7/2 peak position was equal to 84.00 eV. The shifted value was then applied to the subsequent C1s and Auger spectra that were collected. Processing of the C KLL Auger Signals. Data were processed using the Avantage software package (version 5.966). A 23-point Savitzky-Golay filter was applied to the XAES data before applying the first derivative. The D-parameter was calculated as the distance between the maximum and minimum points found in the derivative spectra. For each sample analyzed, measurements were acquired at three different locations. Differential Scanning Calorimetry (DSC). DSC data were recorded using a TA Q2000 differential scanning calorimeter (TA Instruments, New Castle, DE, USA). Measurements were taken under an atmosphere of nitrogen (flow rate = 50 mL min−1) and over a temperature range of −80 to 150 °C. High-purity indium was used as a standard for temperature calibrations. The samples underwent three heating and cooling cycles at rates of up to 20 °C min−1 prior to recording data. Materials. Poly(ethylene), cyclooctadiene, poly(styrene), 1,4-diethynylbenzene, poly(acrylonitrile), poly(4-vinylpyridine), poly(styrene)-block-poly(butadiene)-block-poly(styrene), Grubbs first generation catalyst, Grubbs second generation catalyst, diamond powder, and graphite fluoride were purchased from Sigma-Aldrich, Inc. Cyclooctene and ethyl vinyl ether were purchased from Alfa Aesar. Cyclopentene, coronene, and pentacene was purchased from Tokyo Chemical Industry. cis1,4-Poly(butadiene) was purchased from Scientific Polymer Products. Cyclooctatetraene was purchased from Matrix Scientific. Graphite powder was purchased from Bay Carbon (Bay Carbon Inc., Bay City, Michigan, USA). Synthesis of Polymers for XAES Analysis. Poly(cycloooctene),22 poly(cyclopentene),22 poly-

diamond to graphite ratio 1:0 3:1 1:1 1:3 0:1 graphite fluoride

amount of diamond (mg)

amount of graphite (mg)

% sp

% sp

100 75 50 25 0

0 25 50 75 100

0 25 50 75 100

100 75 50 25 0

2

3

Dparameter (eV)a

standard error (eV)b

16.77 17.43 17.90 19.00 20.50 15.50

0.21 0.15 0.15 0.10 0.26 0.00

a

The D-parameter values represent the average value obtained from a minimum of three different measurements that were taken at different locations on the sample. bThe standard errors were calculated from a minimum of three different measurements that were taken at different locations on the sample.

Blends of Poly(styrene) and Poly(ethylene). Various combinations of poly(styrene) and poly(ethylene) were blended according to a previously reported method.30 Briefly, 1:1 (5.00 g, 48 mmol of poly(styrene) and 1.35 g, 48 mmol of poly(ethylene)), 1:3 (3.00 g, 29 mmol of poly(styrene) and 2.42 g, 87 mmol of poly(ethylene)), or 3:1 (5.00 g, 48 mmol of poly(styrene) and 0.45 g, 16 mmol of poly(ethylene)) mixtures of poly(styrene) and poly(ethylene) were blended at 220 °C in a Haake Minilab II Twin Screw Extruder (Thermo Fisher Scientific, Waltham, MA, USA). The polymers were extruded over the course of 10 min at a screw rotation rate of 90 rpm and then dried under reduced pressure at 100 °C. Mixtures of Poly(acetylene) and Poly(ethylene). In a glovebox filled with nitrogen, an analytical mill (IKA A-10, Staufen, Germany) was charged with poly(acetylene) (340 mg, 3.27 mmol) and poly(ethylene) (366 mg, 13.08 mmol), and then the mixture was ground for 2 min. The resulting material was loaded onto an XPS sample holder and transferred to an XPS analysis chamber using an air-free vessel to minimize oxidation of the poly(acetylene) component.



RESULTS AND DISCUSSION Our efforts began by acquiring C1s spectra of mixtures containing known ratios of graphite and diamond using XPS. In accordance with previous results,5,15,16 diamond and graphite exhibited two distinct signals, whereas mixtures of the carbon materials exhibited signals with relatively large full width at halfmaximum (FWHM) values (see Figure 1 and Table S1). While peak fitting may be used to quantify the relative amounts of each material present, such methods can be challenging due to charging effects31 and signal assignment, particularly for diamond.32 Instead, analysis of the first derivative of the C B

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Figure 1. Representative carbon 1s spectra recorded by XPS for graphite, diamond, and various physical mixtures of graphite (G) and diamond (D).

Figure 3. Plot of D-parameter values versus the percentage of sp3 hybridized carbons in graphite, diamond, various physical mixtures of graphite (G) and diamond (D), and graphite fluoride (GF) (as a control35).

KLL Auger spectra avoids signal deconvolution and assignment,10,16,19 particularly in samples that result in a poor signalto-noise ratio,16 as well as charging effects.11 Following procedures outlined in the literature,5,15,16,33 D-parameters were calculated from the first derivatives of the C KLL Auger signals recorded for the aforementioned mixtures, and the ratios of sp2-to-sp3-hybridized carbons were determined (see Figure 2). As summarized in Table 1 and Figure 3, a linear correlation was observed. To determine if the analysis technique described above could be extended to other carbon-based materials, a systematic series of polymers comprised of carbons with varying ratios of sp2-tosp3 hybridization states were synthesized utilizing ring-opening metathesis polymerization (ROMP) (see Table 2) and analyzed. ROMP was selected because the ratio of sp2-to-sp3 hybridization present in the monomer unit is preserved in the repeat unit of the corresponding products,34 which in turn allowed us to synthesize polymers with pre-determined compositions. As shown in Figure 4 and summarized in Table 2, a good correlation between the D-parameter and the percentage of sp3-hybridized carbons within a given material was observed. For example, poly(acetylene) was found to exhibit a larger D-parameter than poly(ethylene) (cf., 17.30 ± 0.51 eV vs 12.70 ± 0.17 eV). In addition to the different hybridization states, the larger D-parameter values were attributed in part to expanded peak widths that may arise from electronic transitions within the unhybridized porbitals.5,16

Table 2. Summary of Hybridization States, D-Parameter Values, and Standard Errors Measured for Various Polymers

a

The D-parameter values represent the average value obtained from a minimum of three different measurements that were taken at different locations on the sample. bThe standard errors were calculated from a minimum of three different measurements that were taken at different locations on the sample.

Figure 2. Representative (a) C KLL Auger and (b) first-derivative C KLL Auger spectra recorded for a graphite powder. C

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Figure 4. Plot of D-parameter values versus the percentage of sp3hybridized carbons found in various polymers. The percentages were calculated from the formal repeat unit of each polymer analyzed. The numbers shown refer to a particular sample and are defined in Table 2.

Next, polymers containing sp-hybridized carbon atoms and/ or heteroatoms were analyzed; key results are shown in Figure 5 and summarized in Table S2. Unfortunately, it proved challenging to extract trends between the D-parameters measured for polymers containing sp2- and/or sp3-hybridized carbons to those containing sp-hybridized carbons. For example, no correlation was observed between poly(styrene), a polymer that contains sp2- and sp3-hybridized carbons, poly(phenylene ethynylene), a polymer that is comprised of spand sp2-hybridized carbons, and poly(vinyl acetylene), a polymer containing sp- and sp3-hybridized carbons. The limitation prompted the development of an alternative calibration method that effectively correlated the calculated Dparameters to the ratio of canonical π-to-σ-bonds within the formal repeat unit of the polymer. Such a comparison resulted in a linear trend between the calculated D-parameter values and the π-to-σ-bond ratio for polymers consisting of only carbon and hydrogen, with the exception of poly(vinyl acetylene). The discrepancy was attributed to the high reactivity of the terminal alkynes which may have undergone cross-linking via addition over the course of the analysis and thus resulted in a change in the measured hybridization state of the corresponding carbon atoms. In contrast, linear trends were not observed for polymers containing heteroatoms, which may be due to charging effects.35 Electronegative heteroatoms (e.g., nitrogen and oxygen) may facilitate the buildup of positive charge on adjoining carbon atoms which ultimately alters the hybridization states and thus the corresponding D-parameter values of the latter. Finally, a series of small molecules were analyzed. As shown in Figure 5 and summarized in Table S2, the D-parameters measured for pentacene as well as coronene were less than that of graphite, which may be due to localization effects36 and/or properties intrinsic to the carbon material (i.e., high surface area or extended conjugation) that are not present in the small molecules. In contrast, calculation of the ratio of π-to-σ-bonds using the method described above resulted in a good correlation with the calibration curve constructed from the carbon-based polymers. Although linear relationships between the D-parameter and degree of hybridization for the mixtures of graphite and diamond mixtures as well as for the hydrocarbons were

Figure 5. Plot of the D-parameter values to the canonical π-to-σ bonding ratios of polymers containing carbons in different hybridization states (squares), small molecules (stars), polymers containing heteroatoms (circles), and polymer blends (triangles). The hybridization ratios were calculated from the formal repeat units of the respective polymers. The numbers shown refer to a particular sample and are defined in the legend shown below the graph.

observed, the trends and underlying D-parameter values calculated for similar degrees of hybridization were not identical.37 For example, the D-parameter measured for a 1:1 mixture of graphite and diamond was found to be 17.90 eV, whereas the value measured for poly(cyclooctadiene) was determined to be 14.93 eV, even though both samples were comprised of stoichiometric ratios of sp2- and sp3-hybridized carbons. In contrast, the D-parameter values measured for poly(cyclooctadiene) and cis-1,4-poly(butadiene), which also contained a 1:1 ratio of sp2- and sp3-hybridized carbons, were found to be nearly identical (14.93 eV vs 14.90 eV). Different linear correlations were observed when graphite/diamond mixtures were compared with styrene/ethylene copolymers and attributed the differences to the presence of hydrogen in D

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Figure 6. (a) First-derivative Auger spectra recorded for poly(ethylene) (PE), poly(acetylene) (PA), and a stoichiometric, physical mixture of poly(ethylene) and poly(acetylene). (b) First-derivative Auger spectra recorded for poly(ethylene) (PE), poly(styrene) (PS), a poly(styrene)-blockpoly(ethylene)-block-poly(styrene) copolymer, and various poly(ethylene)/poly(styrene) blends (ratios are indicated).



the latter.11 Although the presence of C−H bonds in synthetic polymers compared to the absence of such bonds in mixtures of graphite and diamond is a plausible explanation for the different linear relationships observed, it insufficiently explains why the D-parameter values for the block copolymers and the mixtures of poly(styrene) and poly(ethylene) do not correlate with the π-to-σ-bonding calibration curve described above. In order to elucidate the reason behind these differences, the D-parameters for physical, stoichiometric mixtures of poly(ethylene) and poly(acetylene) as well as blends of poly(styrene) and poly(ethylene) were measured. As shown in Figure 6a, the first-derivative Auger spectrum that was recorded for the former exhibited a wider valley and featured two different minima that aligned with spectra independently measured for poly(acetylene) and poly(ethylene). A similar observation was made when comparing the first-derivative Auger spectra of the blends of poly(styrene) and poly(ethylene) (Figure 6b). As expected, the poly(styrene)/ poly(ethylene) blends and the poly(ethylene)/poly(acetylene) mixtures did not show correlations between the D-parameter values and the corresponding π-to-σ-bond ratios. We concluded from these results that the hydrocarbon calibration curve presented herein may be applicable to materials with constituents that are connected through a common backbone. Further examination of the 1:1 blend of poly(styrene) and poly(ethylene) by DSC revealed distinct peaks that corresponded to the glass transition temperature (Tg) of poly(styrene) (ca. 100 °C) and the melting temperature of poly(ethylene) (ca. 130 °C). These signals are in line with literature values reported for homopolymers of styrene38 and ethylene.39 Likewise, DSC data recorded for the poly(styrene)block-poly(ethylene)-block-poly(styrene) copolymer showed signals that corresponded to glass transition and melting temperatures (see Figure S1). Collectively, the data indicated that the 1:1 blend of poly(styrene) and poly(ethylene) as well as the block copolymer were phase separated.40 As such, the poly(styrene) and poly(ethylene) components may experience limited interactions with each other and thus may not be representative of a homogeneous blend. These results also explain why the blends and the block copolymers exhibited relatively wide minima in the first-derivative spectra because each signal may stem from the respective homopolymers.

CONCLUSIONS Herein we report a XAES-based method for ascertaining the hybridization states of carbon atoms in various synthetic polymers and other hydrocarbons. The method was used to quantify the relative amounts of sp2- and sp3-hybridized carbon atoms in a wide range of polymers and was successfully extended to analogues containing sp-hybridized carbons by calculating the ratio of formal π-to-σ bonds present within the polymer repeat unit. Indeed, the approach is not only applicable to materials containing sp2- and/or sp3-hybridized carbons, but also enables measurement of sp-hybridized atoms, which, to the best of our knowledge, is unprecedented. In addition to only requiring minimal amounts of sample and being robust to factors that often result in signal loss, the analysis procedure does not utilize peak-fitting. The polymers analyzed may be limited to those that consist exclusively of carbon and hydrogen, are not phase-separated, and are connected via a backbone of carbon atoms. Nevertheless, the methodology described herein was found to be useful for assessing the hybridization states of synthetic polymers and for quantifying their relative ratios of sp-, sp2-, and sp3-hybridized carbon atoms.



ASSOCIATED CONTENT

S Supporting Information *

The Supporting Information is available free of charge on the ACS Publications website at DOI: 10.1021/acs.jpcc.8b02217. Peak positions and FWHM values of C 1s XPS data, summaries of π-to-σ bond ratios and D-parameter values, and DSC data recorded for a poly(styrene)/poly(ethylene) blend as well as a poly(styrene)-blockpoly(ethylene)-block-poly(styrene) copolymer (PDF)



AUTHOR INFORMATION

Corresponding Author

*E-mail: [email protected]; Tel: +82-52-217-3001. ORCID

Stanfield Y. Lee: 0000-0001-6955-2573 Songsu Kang: 0000-0002-1473-3542 Christopher W. Bielawski: 0000-0002-0520-1982 Notes

The authors declare no competing financial interest. E

DOI: 10.1021/acs.jpcc.8b02217 J. Phys. Chem. C XXXX, XXX, XXX−XXX

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ACKNOWLEDGMENTS Funding sources for this work include the Institute for Basic Science (IBS) (IBS-R019-D1) and the BK21 Plus Program as funded by the Ministry of Education and the National Research Foundation of Korea. The authors are grateful to Dr. Karel Goossens for his insightful comments and valuable advice.



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